An Introduction to Central Simple Algebras and Their Applications to Wireless Communication
About this Title
Grégory Berhuy, Université Joseph Fourier, Grenoble, France and Frédérique Oggier, Nanyang Technological University, Singapore, Singapore
Publication: Mathematical Surveys and Monographs
Publication Year:
2013; Volume 191
ISBNs: 978-0-8218-4937-8 (print); 978-1-4704-0996-8 (online)
DOI: https://doi.org/http://dx.doi.org/10.1090/surv/191
MathSciNet review: 3086869
MSC: Primary 16Wxx; Secondary 11T71, 94A05
Table of Contents
Front/Back Matter
Chapters
- Introduction
- 1. Central simple algebras
- 2. Quaternion algebras
- 3. Fundamental results on central simple algebras
- 4. Splitting fields of central simple algebras
- 5. The Brauer group of a field
- 6. Crossed products
- 7. Cyclic algebras
- 8. Central simple algebras of degree 4
- 9. Central simple algebras with unitary involutions
- Appendix A. Tensor products
- Appendix B. A glimpse of number theory
- Appendix C. Complex ideal lattices